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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 400v

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.78.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 399r); this page is its left half.

The machine reads it as

  1. sRestat ut tentemus an ex
  2. sanbx tex, cum ralonali acp
  3. formari possit, quud nondum habentuo sit sarox = y, et fiet
  4. arabx taxx= eegus + reffxyu + fxyy. quaeratur jam X et
  5. fint Xx seu Xx + 22 y1X f ec gy - a = 0
  6. XX +
  7. 2eyy - a b
  8. hy - ac
  9. regy-ab
  10. gy - ac X + 4
  11. gy-ac
  12. gy-ac
  13. tecy +44yy
  14. seu fiet
  15. +4aceegus - ac Z: 4 (2) gy - ac
  16. +4ee - aealyus + abb
  17. sed ibi praecavente natura (vaneseit t ndeoque quia y haberi it
  18. rationaliter, ex aliqua unte X habetur ratioraliter patet etiam y
  19. eberi haberi ex aliqua unde Y haberi, e ration aliter habetur
  20. quod non facile fari posset, si daretur, sempersieri posset si haberetur
  21. maneret y
  22. Hic est puti renimus modus
  23. de. eventum
  24. praevidem
  25. genemlii aa A + a x de p
  26. adextqua
  27. aalt abX L 9XX
  28. =3
  29. va a bx t acex
  30. + aa fXX + 2af9X + gg + = a yy + a bX yy + ac XX yy
  31. deberet X posse ration aliter per quam et yratu
  32. aec F 2 efX + 2a CGXX
  33. ponaum gea et
  34. calculi facilioris causa sit sta
  35. ut fiet BX + 2aeg XX + a ec: gg = 0
  36. noniter inventur
  37. f20
  38. = a4 gy. 93
  39. Cum X detur elsi Nu rationaliter, tamen rationabilifice per
  40. -q
  41. XX sic dabitur quia datur per y
  42. et X
  43. et (Xyax, sed horjem tum estat
  44. F
  45. Sax
  46. datur ergo sxxay
  47. arbx in fex eX houm disea 213
  48. fatsdxarx
  49. hujus diff est fdx ex dx f
  50. satbx,dX
  51. jin sx txL (4 s - fix X 42 + = EE
  52. atba
  53. TV EX sax area
  54. Ergo
  55. at bxix +
  56. cujus diff est dx atcx
  57. atbx (ax
  58. (a+bxX = (X Sax ar ex
  59. dx d a +ex
  60. Dix
  61. spem facit. oga Etsi et ipsa admodum sit tennis
  62. atbx)
  63. (ax arex
  64. 2
  65. 1
  66. 2X
  67. = L dx
  68. satbx
  69. 2YX
  70. dx sodx atex
  71. Haec via
  72. sane si da ponantur
  73. et x = (eco1o =b) 2acodco 2(a - acoco) cco dei: (Elccoto -b seu 2b acodu - rcacodeo seu
  74. l2 (Cco co - b)
  75. Hinc si Coco = v fieret ax 2 ( )Cv dx Y a +x = a dv (buc) vo. quod
  76. ex.
  77. aTEK
  78. sed video hnc d dare atrusus gntunalem rplic
  79. aD, fiat dx = adv (B. C)
  80. sit X = ev-
  81. sed nit javar
  82. ax
  83. fbX = ad fit a tbx = acoco + Excoco seu X = a - acoco rX, croro - b
  84. sit sa lade
  85. 2a0dco (b-C). Ergo si pro coco ponamus V frit a do (hac) de faro. Caco - b
  86. (D- b
  87. (2s, C2 - b
  88. -av
  89. et te 2
  90. (2 ser -b) mandu
  91. adv (b0c).
  92. (2T (cv - 6)
  93. urgo
  94. d X = 3XX C

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 400v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0796?run=74